Finding the Third Proportional to 354,773 and 510,010

Step by Step Solution

1. Step 1: Write the proportion equation
   354,773 : 510,010 = 510,010 : x
2. Step 2: Convert to fraction form
   354,773/510,010 = 510,010/x
3. Step 3: Cross multiply
   354,773x = 510,010 × 510,010
4. Step 4: Simplify right side
   354,773x = 260,110,200,100
5. Step 5: Solve for x
   x = 260,110,200,100/354,773
6. Step 6: Final answer
   x = 733,173.61